Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
45570w |
Isogeny class |
Conductor |
45570 |
Conductor |
∏ cp |
81 |
Product of Tamagawa factors cp |
deg |
1632960 |
Modular degree for the optimal curve |
Δ |
-8.4508560241766E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 3 2 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1124919,637490242] |
[a1,a2,a3,a4,a6] |
Generators |
[-916:30450:1] |
Generators of the group modulo torsion |
j |
-27308798525721769/14659406325000 |
j-invariant |
L |
5.5782239744165 |
L(r)(E,1)/r! |
Ω |
0.17836756920356 |
Real period |
R |
3.4748618630097 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
45570m1 |
Quadratic twists by: -7 |